In the given circuit diagram,when the current reaches a steady state,the charge on the capacitor of capacitance $C$ will be:

  • A
    $CE$
  • B
    $CE \frac{r_1}{r_1 + r_2}$
  • C
    $CE \frac{r_2}{r + r_2}$
  • D
    $CE \frac{r_1}{r_1 + r}$

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$A$ $2\ \mu F$ capacitor and an $R$ resistor are connected in series to a $200\ V$ $DC$ supply. $A$ neon bulb is connected across the capacitor,which glows at $120\ V$. Calculate the value of $R$ so that the bulb glows for $5\ s$ after the switch is closed. (Given: $\log_{10} 2.5 = 0.4$)

Switch $S$ of the circuit shown in the figure is in position $1$ for a long time. At instant $t = 0$,it is thrown from position $1$ to $2$. Find the thermal power $P_1(t)$ generated in resistance $R_1$.

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$A$ resistor $R$ and a $2 \ \mu F$ capacitor in series are connected through a switch to a $200 \ V$ direct supply. Across the capacitor is a neon bulb that lights up at $120 \ V$. Calculate the value of $R$ to make the bulb light up $5 \ s$ after the switch has been closed. (Given: $\log_{10} 2.5 = 0.4$)

Find the charge in steady state of the capacitor. (in $nC$)

What will be the current through the $200 \Omega$ resistor in the given circuit,a long time after the switch $K$ is closed?

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